427376628 has 192 divisors, whose sum is σ = 1317120000. Its totient is φ = 119768544.

The previous prime is 427376611. The next prime is 427376647. The reversal of 427376628 is 826673724.

Its product of digits (677376) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3074583 + ... + 3074721.

It is an arithmetic number, because the mean of its divisors is an integer number (6860000).

Almost surely, 2^427376628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427376628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560000).

427376628 is an abundant number, since it is smaller than the sum of its proper divisors (889743372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427376628 is a wasteful number, since it uses less digits than its factorization.

427376628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 427376628 is about 20673.0894643254. The cubic root of 427376628 is about 753.2461537110.

The spelling of 427376628 in words is "four hundred twenty-seven million, three hundred seventy-six thousand, six hundred twenty-eight".